What is the answer to 3/(y-3)=(12)/(y+3) ?

The answer to 3/(y-3)=(12)/(y+3) is y=5

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3/(y-3)=(12)/(y+3)

\frac{3}{y - 3} = \frac{12}{y + 3}

y = 5

Solution steps

\frac{3}{y - 3} = \frac{12}{y + 3}

Cross multiply

3 y + 9 = 12 y - 36

Move

9

to the right side

3 y = 12 y - 45

Move

12 y

to the left side

- 9 y = - 45

Divide both sides by

- 9

y = 5

Verify Solutions

Find undefined (singularity) points:

y = 3, y = - 3

Combine undefined points with solutions:

y = 5

4 x^{- 1} = 16

\frac{9}{x} = \frac{2}{6}

\frac{x ^{8} - x ^{2}}{x ^{4} - x ^{2}} = 9

\frac{6}{x - 3} - 6 = - 12

x^{2} + 6 x - 2 - \frac{35}{x ^{2} + 6 x} = 0

What is the answer to 3/(y-3)=(12)/(y+3) ?
The answer to 3/(y-3)=(12)/(y+3) is y=5
Solve for y: 3/(y-3)=(12)/(y+3)
The solution is y=5